Exercise 45 Page 319

Recall that the recursive equation for an arithmetic sequence is of the following form. a_n=a_(n-1)+ d Here, d is the common difference. Then, for the given sequence, the common difference is ${\color{#FF0000}{\text{-} 12}}.'"`UNIQ--MLMath-4-QINU`"' The explicit formula for the sequence, with first terma_1=6and common difference\text{-} 12,can be written as follows. '"`UNIQ--MLMath-5-QINU`"' Let's simplify it. '"`UNIQ--deduct-00000001-QINU`"' The [[Concept:Explicit Rule|explicit rule]] for the sequence isa_n=18-12n.$ \begin{aligned} \textbf{Correct: } & \ a_n=18-12n \quad \Large{{\color{#009600}{\checkmark}}} \\ \textbf{Incorrect: } & \ a_n=\text{-} 6+12n \quad \Large{{\color{#FF0000}{\times}}} \end{aligned}